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5266380072960 = 2113253110118251
BaseRepresentation
bin100110010100010110010…
…1101101010100000000000
3200122110110002012220102100
41030220230231222200000
51142241021244313320
615111201441550400
71052324544010506
oct114505455524000
920573402186370
105266380072960
111750506290a96
127107b0045400
132c2804891806
14142c737c4676
1591ecd5aa790
hex4ca2cb6a800

5266380072960 has 576 divisors, whose sum is σ = 19028699988480. Its totient is φ = 1345536000000.

The previous prime is 5266380072931. The next prime is 5266380073007. The reversal of 5266380072960 is 692700836625.

5266380072960 is a `hidden beast` number, since 52 + 66 + 380 + 0 + 72 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 5266380072897 and 5266380072906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288543835 + ... + 288562085.

It is an arithmetic number, because the mean of its divisors is an integer number (33035937480).

Almost surely, 25266380072960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5266380072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9514349994240).

5266380072960 is an abundant number, since it is smaller than the sum of its proper divisors (13762319915520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5266380072960 is a wasteful number, since it uses less digits than its factorization.

5266380072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416 (or 18393 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5266380072960 in words is "five trillion, two hundred sixty-six billion, three hundred eighty million, seventy-two thousand, nine hundred sixty".